The equation for the voltage v(t) across a capacitor at time t is v(t) : i(t)dt + qo = - Where i(t) is the current passing through the capacitor, and qo is the initial charge. Consider a capacitor...

The equation for the voltage ?(?) across a capacitor at time ? is
?(?)=1?(∫?(?)???0+?0)
Where ?(?) is the current passing through the capacitor, and ?0 is the initial charge. Consider a capacitor with ?=1?? and ?0=0. If ?(?)=0.1(0.2+sin0.5?) A, find ?(?) for ?=0.5 sec.

Extracted text: The equation for the voltage v(t) across a capacitor at time t is v(t) : i(t)dt + qo = - Where i(t) is the current passing through the capacitor, and qo is the initial charge. Consider a capacitor with c =lµF and qo = 0. If i(t) = 0.1(0.2 + sin 0.5t) A, find v(t) for t 0.5 sec.